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Finding the Fourth Proportional to 290,967.64, 401,475.14 and 170,085.54

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Solution

The fourth proportional to 290,967.64, 401,475.14 and 170,085.54 is: 234,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,967.64 : 401,475.14 = 170,085.54 : x
  2. Step 2: Convert to fraction form
    290,967.64/401,475.14 = 170,085.54/x
  3. Step 3: Cross multiply
    290,967.64x = 401,475.14 × 170,085.54
  4. Step 4: Simplify right side
    290,967.64x = 68,285,115,983.48
  5. Step 5: Solve for x
    x = 68,285,115,983.48/290,967.64
  6. Step 6: Final answer
    x = 234,682.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.